2031141359520 has 1152 divisors, whose sum is σ = 9028663418880. Its totient is φ = 422636175360.

The previous prime is 2031141359501. The next prime is 2031141359521. The reversal of 2031141359520 is 259531411302.

It is a happy number.

2031141359520 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 1 + 41 + 3 + 595 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2031141359521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200879265 + ... + 200889375.

It is an arithmetic number, because the mean of its divisors is an integer number (7837381440).

Almost surely, 2^{2031141359520} is an apocalyptic number.

2031141359520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031141359520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514331709440).

2031141359520 is an abundant number, since it is smaller than the sum of its proper divisors (6997522059360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2031141359520 is a wasteful number, since it uses less digits than its factorization.

2031141359520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 2031141359520 in words is "two trillion, thirty-one billion, one hundred forty-one million, three hundred fifty-nine thousand, five hundred twenty".